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A022836
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a(n) = c(1)*p(0) + ... + c(n)*p(n-1), where c(i) = 1 if a(i-1) <= p(i-1) and c(i) = -1 if a(i-1) > p(i-1) (with p(0) = 1 and p(i) a prime for i >= 1).
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1
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1, 3, 6, 1, 8, 19, 6, 23, 4, 27, 56, 25, 62, 21, 64, 17, 70, 11, 72, 5, 76, 3, 82, 165, 76, 173, 72, 175, 68, 177, 64, 191, 60, 197, 58, 207, 56, 213, 50, 217, 44, 223, 42, 233, 40, 237, 38, 249, 26, 253, 24, 257, 18, 259, 8, 265, 2, 271, 542, 265, 546, 263, 556
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OFFSET
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0,2
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COMMENTS
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Alternate description: a(1) = 1, a(n) = a(n-1) - prime(n) if a(n-1) > prime(n) else a(n) = a(n-1) + prime(n). - Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 27 2003
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LINKS
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FORMULA
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MATHEMATICA
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nxt[{n_, a_}]:=Module[{p=Prime[n]}, {n+1, If[a>p, a-p, a+p]}]; NestList[ nxt, {1, 1}, 70][[All, 2]] (* Harvey P. Dale, Nov 27 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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